Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws

Philipp Öffner

ISBN 10: 3658426195 / ISBN 13: 9783658426194

Published by Springer Gabler Aug 2023, 2023

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -The book focuses on stability and approximation results concerning recent numerical methods for the numerical solution of hyperbolic conservation laws. The work begins with a detailed and thorough introduction of hyperbolic conservation/balance laws and their numerical treatment. In the main part, recent results in such context are presented focusing on the investigation of approximation properties of discontinuous Galerkin and flux reconstruction methods, the construction of (entropy) stable numerical methods and the extension of existing (entropy) stability results for both semidiscrete and fully discrete schemes, and development of new high-order methods.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 504 pp. Englisch.

Seller Inventory # 9783658426194

Bibliographic Details

• Title: Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws
• Publisher: Springer Gabler Aug 2023
• Publication Date: 2023
• Language: English
• ISBN 10: 3658426195
• ISBN 13: 9783658426194
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 210W x 148H x 28D millimeters 210 millimeters width by 148 millimeters height by 28 millimeters depth
• Weight: 645 grams

About this title

Synopsis

The book focuses on stability and approximation results concerning recent numerical methods for the numerical solution of hyperbolic conservation laws. The work begins with a detailed and thorough introduction of hyperbolic conservation/balance laws and their numerical treatment. In the main part, recent results in such context are presented focusing on the investigation of approximation properties of discontinuous Galerkin and flux reconstruction methods, the construction of (entropy) stable numerical methods and the extension of existing (entropy) stability results for both semidiscrete and fully discrete schemes, and development of new high-order methods.

About the Author

About the author

Philipp Öffner is a research associate in the numerical mathematics group at Johannes Gutenberg University Mainz. In his research he focuses on numerical methods for partial differential equations and on scientific computing.